AFAIK Raster Calculator can not do moving neighbor analysis with a defined
kernel.

If you need a custom kernel (adaptive filter approaches) also look at
r.mfilter. Note r.mapcalulator can be used but the r.mfilter kernel file is
a bit easier to work with.

If you install SAGA Gis, you have several options under the Grid -- Filter
menu.

Cheers,

Richard



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